Patrick has a gas-powered boat that averages 5 miles per gallon of gasoline, and the tank holds 4 gallons. At 2 p. m., he left the dock. At 3 p. m., he was 6 miles west and 8 miles south of the dock. If he continues at this rate, in how many more hours will the tank be out of gasoline? Round to the nearest tenth if necessary.

1 hour

Step-by-step explanation:

Let's assume that Patrick is travelling on a straight line throughout the whole path in order to minimize the distance.

The number of miles that he can travel on a full tank is:

The distance travelled by Patrick in one hour (from 2p.m. to 3p.m.) is:

If he is travelling at 10 miles per hour, and he could travel for a total of 20 miles, then the time remaining before the tank runs out of gasoline is:

If he continues at this rate, the gas will last for 1 more hour.